eng
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
2011-06-22
1
3 (SUMMER)
159
170
521706
THE ROLE OF TREATMENT ON CONTROLLING CHANCROID PREVALENCE
S. Mushayabasa
1
C. P. Bhunu
2
Modelling Biomedical Systems Research Group, National University of Science and Technology, Box AC 939 Ascot, Bulawayo Zimbabwe Department of Applied Mathematics
University of Zimbabwe, Box MP 167 Mount Pleasant, Harare Zimbabwe Department of Applied Mathematics
Chancroid is a highly infectious and curable sexually transmitted disease caused by the bacterium Haemophilus Ducreyl (also known as H. Ducreyl). A deterministic mathematical model for investigating the role of treatment on controlling chancroid epidemic is formulated and rigorously analyzed. A threshold quantity known as the productive number, which measures the number of secondary infections produced by a single chancroid infective when introduced in a population of susceptible in the presence of treatment has been derived. Equilibria for the model are determined and their stability are examined. Latin hypercube sampling has been used to perform the sensitivity analysis of the reproductive number.
http://ijm2c.iauctb.ac.ir/article_521706_9f3835e89b685b0bbc001d0cdc774ffa.pdf
Chancroid
Treatment
reproductive number
Stability
Sensitivity Analysis
eng
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
2011-06-22
1
3 (SUMMER)
171
174
521707
ON AN EXTENSION OF A QUADRATIC TRANSFORMATION FORMULA DUE TO GAUSS
M. A. Rakha
1
A. K. Rathie
2
P. Chopra
3
Faculty of Science - Suez Canal University - Ismailia Egypt Department of Mathematics and Statistics
Rajasthan Technical University, Village: TULSI, Post-Jakhmund, Dist. BUNDI-323021, Rajasthan State India Vedant College of Engineering and Technology
Marudhar Engineering College, NH-11, Jaipur Road, Raisar, BIKANER-334 001, Rajasthan State India Department of Mathematics
The aim of this research note is to prove the following new transformation formula
begin{equation*} (1-x)^{-2a},_{3}F_{2}left[begin{array}{ccccc} a, & a+frac{1}{2}, & d+1 & & \ & & & ; & -frac{4x}{(1-x)^{2}} \ & c+1, & d & & end{array}right] \ =,_{4}F_{3}left[begin{array}{cccccc} 2a, & 2a-c, & a-A+1, & a+A+1 & & \ & & & & ; & -x \ & c+1, & a-A, & a+A & & end{array} right], end{equation*}
where $A^2=a^2-2ad+cd$ after the equation.
For d=c, we get a known quadratic transformations due to Gauss. The result is derived with the help of the generalized Gauss's summation theorem available in the literature.
http://ijm2c.iauctb.ac.ir/article_521707_6ff9c3eeb7305ab8c3f88028bac474be.pdf
Gauss hypergeometric function
2F1 Hypergeometric function
Contiguous function relation
Linear recurrence relation
eng
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
2011-06-22
1
3 (SUMMER)
175
181
521708
INTERPOLATION BY HYPERBOLIC B-SPLINE FUNCTIONS
M. Amirfakhrian
1
H. Nouriani
2
Islamic Azad University, Central Tehran Branch Iran, Islamic Republic of Department of Mathematics
Islamic Azad University, Central Tehran Branch Iran, Islamic Republic of Department of Mathematics
In this paper we present a new kind of B-splines, called hyperbolic B-splines generated over the space spanned by hyperbolic functions and we use it to interpolate an arbitrary function on a set of points. Numerical tests for illustrating hyperbolic B-spline are presented.
http://ijm2c.iauctb.ac.ir/article_521708_6835745fd7ed6402cdd176024eabbe30.pdf
Interpolation
Algebraic Hyperbolic B-spline
Hyperbolic B-spline
Polynomial B-spline
Trigonometric B-spline
eng
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
2011-06-22
1
3 (SUMMER)
183
187
521709
VARIATIONAL HOMOTOPY PERTURBATION METHOD FOR SOLVING THE NONLINEAR GAS DYNAMICS EQUATION
M. Matinfar
1
Z. Raeisi
2
Faculty of Sciences, Mazandaran University, Iran Department of Mathematics
Faculty of Sciences, Mazandaran University, Iran Iran, Islamic Republic of Department of Mathematics
A. Noor et al. [7] analyze a technique by combining the variational iteration method and the homotopy perturbation method which is called the variational homotopy perturbation method (VHPM) for solving higher dimensional initial boundary value problems. In this paper, we consider the VHPM to obtain exact solution to Gas Dynamics equation.
http://ijm2c.iauctb.ac.ir/article_521709_46b8bcb924317833a3052cf8def8ecd1.pdf
Variational Homotopy Perturbation Method
Nonlinear Gas Dynamics Equation
eng
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
2011-06-22
1
3 (SUMMER)
189
194
521710
APPLICATION OF PARTIAL DIFFERENTIAL EQUATIONS IN SNOW MECHANICS
S. Ahmadi
1
Tehran north branch-Azad University-iran Iran, Islamic Republic of I'm an Assistant Professor of Applied Mathematics at the University of Azad university. I received my doctorate in Fluid mechanics fro pune University. My recent publication include "Tornado Dynamics" in the journal of karaj Azad university.
In the present work, failure of a snow slab is analyzed by accounting Normal mode criteria. The analysis has been extended to include residual stress into the model (in addition to body forces). Intensity of crack energy release rate, and displacement components have been derived and their values have been estimated. The obtained results have been compared with the existing snow slab failure models [ Perla and La chappelle (1970), Perla (1980), Sigrist (2006), Schweizer (1999)]. The criteria of snow slab failure have been critically examined.The maximum stress in the snow pack and critical intensity factor of crack development has also been studied in the model. The results of the present model can be used for the avalanche release information.
http://ijm2c.iauctb.ac.ir/article_521710_bc402325df8b04f7a266b3abe701eb20.pdf
equilibrium equation
maximum stress
principal normal stress
eng
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
2011-06-22
1
3 (SUMMER)
195
198
521711
UNBOUNDEDNESS IN MOILP AND ITS EFFICIENT SOLUTIONS
G. Tohidi
1
S. Razavyan
2
Islamic Azad University, Central Tehran Branch, Iran Iran, Islamic Republic of Department of Mathematics
Islamic Azad University, Central Tehran Branch, Iran Iran, Islamic Republic of Department of Mathematics
In this paper we investigate Multi-Objective Integer Linear Programming (MOILP) problems with unbounded feasible region and introduce recession direction for MOILP problems. Then we present necessary and suﬃcient conditions to have unbounded feasible region and inﬁnite optimal values for objective functions of MOILP problems. Finally we present some examples with unbounded feasible region and ﬁnite and inﬁnite eﬃcient solution.
http://ijm2c.iauctb.ac.ir/article_521711_59d7dc8172751ac64941d372a4a1dfaf.pdf
L1−norm
Multi-objective integer linear programming
Recession direction
Eﬃcient solutions
eng
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
2011-06-22
1
3 (SUMMER)
199
210
521712
MINIMAL SOLUTION OF INCONSISTENT FUZZY MATRIX EQUATIONS
M. Mosleh
1
M. S. Otadi
2
S. M. Bagher Abadi
3
Firoozkooh Branch, Islamic Azad University, Firoozkooh Iran, Islamic Republic of Department of Mathematics
Firoozkooh Branch, Islamic Azad University, Firoozkooh Iran, Islamic Republic of Department of Mathematics
Firoozkooh Branch, Islamic Azad University, Firoozkooh Iran, Islamic Republic of Department of Mathematics
Fuzzy liner systems of equations, play a major role in several applications in various area such as engineering, physics and economics. In this paper, we investigate the existence of a minimal solution of inconsistent fuzzy matrix equation. Also some numerical examples are considered.
http://ijm2c.iauctb.ac.ir/article_521712_0fa7aa23684c3586fea2f139f12173cb.pdf
eng
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
2011-06-22
1
3 (SUMMER)
211
216
521713
IMPRECISE DATA ENVELOPMENT ANALYSIS APPROACH IN PERFORMANCE EVALUATION OF SUPPLY CHAIN
S. Mamizadeh Chatghayeh
1
V. Abbasi
2
Islamic azad university, Central Tehran branch, Tehran, Iran Young researches club
University of Science and Culture, Tehran Iran, Islamic Republic of Department of Industrial Engineering
Spurred by intensifying competition in global markets, most companies have been increasingly implementing supply chain management (SCM) and information systems (IS) practices. As well, globalization policies have created a more intensive competition amongst manufacturers; in additional the priority of supply over demand, market competition and importance of some factor such as quality, accountability has encouraged companies to integrate their activities using SCM. Performance measurement of supply chain management reflects the need for improvement in operational areas which are found wanton in performance measures. In addition to the results obtained from the evaluation of supply chain performance based on inner changed data can help the integration of supply chain activities and their inner changed data through improving the chain relations and it satisfies customers. In addition, Supply chain (SC) performance evaluation problems cover a wide range from evaluating the performance of independent organizations among supply chains to evaluating the performance of a whole supply chain system. Therefore, in this paper, as regards, performance evaluation is of great importance for effective supply chain management, it has been tried to evaluate supply chain performance by both exact and interval data. This model is illustrated by a numerical example.
http://ijm2c.iauctb.ac.ir/article_521713_c754009c0325694f6386e77fb435cb39.pdf
Imprecise Data Envelopment Analysis (IDEA)
Supply Chain Management (SCM)